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Tanzania [10]
3 years ago
15

Write an equation to find the measure of the total angle

Mathematics
1 answer:
defon3 years ago
3 0
Where is the angle ??
You might be interested in
Ryo accidentally ordered 240% as many eggs as his restaurant needed. What fraction of the number of eggs his restaurant needs di
Anarel [89]

Answer:

Ryo ordered \frac{12}{5} of the amount of eggs his restaurant needed

Step-by-step explanation:

Let's call z the number of eggs the restaurant needs

Ryo ordered 240% of the eggs he needed. Then Ryo ordered:

\frac{240}{100}z.

This fraction can be simplified by dividing by 10 in the numerator and denominator.

Then it is:

\frac{24}{10}

It can be further simplified by dividing by 2 in the numerator and denominator:

\frac{12}{5}z

Ryo ordered \frac{12}{5} of the amount of eggs his restaurant needed

6 0
3 years ago
A go-cart with a mass of 200 kg is pushed with a force of 1000 N (1000 kg m/s2). What is the acceleration of the go-cart? ​
Hunter-Best [27]

Answer:

Acceleration=5m/s^2

Step-by-step explanation:

F=ma

1000=200xa

a=1000/200

a=5m/s^2

8 0
3 years ago
Indicate the general rule for the arithmetic sequence with a3 = -12 and a8 = -37
Mandarinka [93]

Answer:

The general rule is a_n = -2 - 5(n-1)

Step-by-step explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.

The general rule of an arithmetic sequence is given by:

a_{n} = a_1 + (n-1)d

In which a_1 is the first term and d is the common difference.

We can also find the nth term as a function of a term m, using:

a_n = a_m + (n-m)d

a3 = -12 and a8 = -37

First we find the common difference. So

a_n = a_m + (n-m)d

a_8 = a_3 + (8-3)d

-37 = -12 + 5d

5d = -25

d = -\frac{25}{5}

d = -5

So

a_n = a_1 - 5(n-1)

Finding the first term:

a_n = a_1 - 5(n-1)

Since a_3 = -12

a_n = a_1 - 5(n-1)

a_3 = a_1 - 5(3-1)

a_1 = a_3 + 10 = -12 + 10 = -2

So the general rule is:

a_n = a_1 - 5(n-1)

a_n = -2 - 5(n-1)

6 0
2 years ago
A popcorn company builds a machine to fill 1 kg bags of popcorn. They test the first hundred bags filled and find that the bags
ELEN [110]

Answer:

Step-by-step explanation:

Given that a popcorn company builds a machine to fill 1 kg bags of popcorn. They test the first hundred bags filled and find that the bags have an average weight of 1,040 grams with a standard deviation of 25 grams.

i.e. Sample mean = 1040 and

Sample std dev s = 25 gm

Sample size n = 100

Hence by central limit theorem we have the sample mean follows a normal distribution with mean =1040 and std dev = s = 25 gm

\bar X = N(1040,25)

Normal curve would be with mean 1040 and std deviatin 25

b) P(X>1115)

= 1-0.9987

=0.0013

i.e. 0.13% would receive a bag that had a weight greater than 1115 grams

8 0
3 years ago
Find the 10th term in the Arithmetic Sequence -2, -5, -8, -11
Inessa [10]
As you can tell, the next time decreases by three every time. So, the tenth term would be -29.
-2,-5,-8,-11,-14,-17,-20,-23,-26,-29
4 0
2 years ago
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